Commutator Criteria for Magnetic Pseudodifferential Operators
| Author | dc.contributor.author | Iftimie, Viorel | |
| Author | dc.contributor.author | Mǎntoiu, Marius | es_CL |
| Author | dc.contributor.author | Purice, Radu | es_CL |
| Admission date | dc.date.accessioned | 2010-06-18T18:30:49Z | |
| Available date | dc.date.available | 2010-06-18T18:30:49Z | |
| Publication date | dc.date.issued | 2009-03-12 | |
| Identifier | dc.identifier.uri | https://repositorio.uchile.cl/handle/2250/119047 | |
| Abstract | dc.description.abstract | The gauge covariant magnetic Weyl calculus has been introduced and studied in previous works. We prove criteria in terms of commutators for operators to be magnetic pseudodifferential operators of suitable symbol classes. The approach is completely intrinsic; neither the statements nor the proofs depend on a choice of a vector potential. We apply this criteria to inversion problems, functional calculus, affiliation results and to the study of the evolution group generated by a magnetic pseudodifferential operator. | en_US |
| Patrocinador | dc.description.sponsorship | IV and RP acknowledge partial support from the ANCS Contract No. 2 CEx06-11-18/2006 and MM acknowledge partial support from the Fondecyt Grant No.1085162 and from the N´ucleo Cientifico ICM P07-027-F ”Mathematical Theory of Quantum and Classical Systems”. RP acknowledges partial support from the SCOPES Programme and thanks EPF Lausanne where part of this paper has been completed and Tudor Ratiu for their hospitality. | en_US |
| Lenguage | dc.language.iso | en | en_US |
| Título | dc.title | Commutator Criteria for Magnetic Pseudodifferential Operators | en_US |
| Document type | dc.type | Artículo de revista |
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